Finding the Third Proportional to 53,589 and 111,549

Step by Step Solution

1. Step 1: Write the proportion equation
   53,589 : 111,549 = 111,549 : x
2. Step 2: Convert to fraction form
   53,589/111,549 = 111,549/x
3. Step 3: Cross multiply
   53,589x = 111,549 × 111,549
4. Step 4: Simplify right side
   53,589x = 12,443,179,401
5. Step 5: Solve for x
   x = 12,443,179,401/53,589
6. Step 6: Final answer
   x = 232,196.52